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Finding the Fourth Proportional to 297,691.65, 410,805 and 170,364.51

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Solution

The fourth proportional to 297,691.65, 410,805 and 170,364.51 is: 235,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,691.65 : 410,805 = 170,364.51 : x
  2. Step 2: Convert to fraction form
    297,691.65/410,805 = 170,364.51/x
  3. Step 3: Cross multiply
    297,691.65x = 410,805 × 170,364.51
  4. Step 4: Simplify right side
    297,691.65x = 69,986,592,530.55
  5. Step 5: Solve for x
    x = 69,986,592,530.55/297,691.65
  6. Step 6: Final answer
    x = 235,097.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.